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Finding the Third Proportional to 28,946 and 45,687

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Solution

The third proportional to 28,946 and 45,687 is: 72,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,946 : 45,687 = 45,687 : x
  2. Step 2: Convert to fraction form
    28,946/45,687 = 45,687/x
  3. Step 3: Cross multiply
    28,946x = 45,687 × 45,687
  4. Step 4: Simplify right side
    28,946x = 2,087,301,969
  5. Step 5: Solve for x
    x = 2,087,301,969/28,946
  6. Step 6: Final answer
    x = 72,110.20

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.